Impacts of a general power law on soliton for a (2+1)-dimensional Zakharov–Kuznetsov equation in magnetized quantum plasmas

Abstract

In this article, under investigation is a (2+1)-dimensional Zakharov–Kuznetsov equation with a general power law nonlinearity arising from magnetized quantum plasmas model. The analytical periodic wave, bright soliton and bright–dark soliton solutions are computed for the equation via the F-expansion method. Furthermore, the impacts of the general power law parameter on the soliton is examined in details. It is interesting that the general power law can be used to control the amplitude and propagation speed, which can determine partly the kinetic energy. Particularly, as the general power law parameter increases, the soliton’ energy will decrease.

Keywords

• (2+1)-dimensional Zakharov–Kuznetsov equation
• General power law
• Magnetized quantum plasmas
• F-expansion method
• Soliton
• Impacts of power law